Search academic texts

Information × Registration Number 0311U003144, 0107U010499 , R & D reports Title Cremona transformations and locally nilpotent derivations of plynomial algebras: theory and apllications to the surplus rerror correcting information and cryptography popup.stage_title Перетворення Кремони та локально-нільпотентні диференціювання алгебр поліномів: теорія та застосування в надлишковому кодуванні інформації та криптографії Head Bodnarchuk Juriy, Registration Date 07-02-2011 Organization National University of "Kyiv-Mohyla Academy" popup.description2 Locally nilpotent derivations are a source of biregular transformations of affine spaces, which are called affine transformations of Cremona. We describe the root (relative to the standard torus) is locally nilpotent derivations of polynomial algebra. It is proved that all such differentiation are exhausted by elementary. In particular, we prove that the normalizer of the standard torus in a special group of Cremona (transformations preserve the volume form) coincides with the group even monomial permutations of variables. It is described all three-root locally nilpotent derivation of polynomial of rank 2. Generalization of the orbit method to construct a series of representations of unitriangular polynomial transformation three-dimensional affine space. A number of important subgroups of the affine Cremona group can be obtained using wreath products. The operation of wreath product and direct sum of metric spaces is introduced. Some properties of these operations are considered. Product Description popup.authors Боднарчук Юрій Вікторович Братик Оксана Василівна Косторова Олена Іванівна Морозов Денис Іванович Олійник Богдана Віталіївна Прокоф'єв Павло Генадійович popup.nrat_date 2020-04-02 Close